The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming.Theword programming in this context can be confusing and/or misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isn’t. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig ?rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U.S. Air Force. The decisions about theallocationswerecalled‘Programs’bytheAirForce,andhencetheterm.

*"synopsis" may belong to another edition of this title.*

This undergraduate textbook is written for a junior/senior level course on linear optimization. Unlike other texts, the treatment allows the use of the "modified Moore method" approach by working examples and proof opportunities into the text in order to encourage students to develop some of the content through their own experiments and arguments while reading the text. Additionally, the focus is on the mathematics underlying the ideas of optimizing linear functions under linear constraints and the algorithms used to solve them. In particular, the author uses the Simplex Algorithm to motivate these concepts. The text progresses at a gentle and inviting pace. The presentation is driven by numerous examples and illustrations. Ample exercises are provided at the end of each chapter for mastering the material. Opportunities for integrating Maple (or similar) software are included in the book. The author’s own WebSim software can be freely downloaded from his website for pedagogical use.

The teacher's version of the text contains solutions embedded within the text, rather than in an appendix. It also has extra material and suggestions for the teacher’s benefit. Junior/senior level undergraduate students will benefit from the book, as will beginning graduate students. Future secondary school mathematics teachers will also find this book useful.

Arizona State University Professor Glenn H. Hurlbert has published nearly 50 articles in graph theory, combinatorics, and optimization, and has been the recipient of numerous teaching and mentoring awards from ASU, the ASU Parents Association, the School of Mathematical and Statistical Sciences, and the Mathematical Association of America.

From the reviews:

“In an effort at reform, Hurlbert (Arizona State) dubs his subject ‘linear optimization’ ... . the author designs his work for discovery-based learning. ... Ideally, this volume offers students the opportunity to recapitulate the Socratic process for reinforcement ... . Summing Up: Recommended. Lower-division undergraduates.” (D. V. Feldman, Choice, Vol. 47 (9), May, 2010)

“Hurlbert’s textbook focuses on the mathematics of linear programming and important connections to linear algebra, graph theory, convexity, and game theory. The author has adopted the Moore method in which students are given some basic terminology and definitions and are then asked to develop the subject by proving a series of theorems. ... This textbook would be very suitable for an undergraduate course in linear programming that uses the Moore method.” (Brian Borchers, The Mathematical Association of America, February, 2010)

“This text is ... oriented toward duality as central to solving and understanding linear optimization problems. ... Sequential steps in the ‘Workouts’ help guide the student through the discovery process. ... this book would be an excellent choice for an instructor wishing to teach linear optimization to a motivated class. There is enough in here to sustain every taste and approach and create an excellent first course in optimization.” (Steven R. Dunbar, SIAM Review, Vol. 53 (3), 2011)

*"About this title" may belong to another edition of this title.*

Published by
Springer
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2009. Hardcover. Condition: New. 2010. Seller Inventory # DADAX0387791477

Published by
Springer-Verlag New York Inc., United States
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 10

Seller:

Rating

**Book Description **Springer-Verlag New York Inc., United States, 2009. Hardback. Condition: New. 2010 ed.. Language: English. Brand new Book. The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming.Theword programming in this context can be confusing and/or misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isn't. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig ?rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U.S. Air Force. The decisions about theallocationswerecalled`Programs'bytheAirForce,andhencetheterm. Seller Inventory # LIE9780387791470

Published by
Springer Verlag
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer Verlag, 2009. Hardcover. Condition: Brand New. 1st edition. 272 pages. 9.50x7.25x1.00 inches. In Stock. Seller Inventory # zk0387791477

Published by
Springer

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 2

Seller:

Rating

**Book Description **Springer. Hardcover. Condition: New. 272 pages. Dimensions: 9.3in. x 7.0in. x 0.8in.The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming. Theword programming in this context can be confusing andor misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isnt. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U. S. Air Force. The decisions about theallocationswerecalledProgramsbytheAirForce, andhencetheterm. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Seller Inventory # 9780387791470

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Quantity Available: 1

Seller:

Rating

**Book Description **Condition: New. Seller Inventory # N:9780387791470:ONHAND

Published by
Springer
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2009. Condition: New. book. Seller Inventory # M0387791477

Published by
Springer
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2009. Hardback. Condition: NEW. 9780387791470 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0274791

Published by
Springer
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 15

Seller:

Rating

**Book Description **Springer, 2009. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9780387791470

Published by
Springer

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 3

Seller:

Rating

**Book Description **Springer. Hardcover. Condition: New. 0387791477 Special order direct from the distributor. Seller Inventory # ING9780387791470

Published by
Springer Verlag
(2009)

ISBN 10: 0387791477
ISBN 13: 9780387791470

New
Hardcover
Quantity Available: 2

Seller:

Rating

**Book Description **Springer Verlag, 2009. Hardcover. Condition: Brand New. 1st edition. 272 pages. 9.50x7.25x1.00 inches. In Stock. Seller Inventory # xr0387791477